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Finding the Fourth Proportional to 11,355.06, 15,661.14 and 9,682.02

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Solution

The fourth proportional to 11,355.06, 15,661.14 and 9,682.02 is: 13,353.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,355.06 : 15,661.14 = 9,682.02 : x
  2. Step 2: Convert to fraction form
    11,355.06/15,661.14 = 9,682.02/x
  3. Step 3: Cross multiply
    11,355.06x = 15,661.14 × 9,682.02
  4. Step 4: Simplify right side
    11,355.06x = 151,631,470.70
  5. Step 5: Solve for x
    x = 151,631,470.70/11,355.06
  6. Step 6: Final answer
    x = 13,353.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.